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Finding the Third Proportional to 7,648 and 17,638

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Solution

The third proportional to 7,648 and 17,638 is: 40,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648 : 17,638 = 17,638 : x
  2. Step 2: Convert to fraction form
    7,648/17,638 = 17,638/x
  3. Step 3: Cross multiply
    7,648x = 17,638 × 17,638
  4. Step 4: Simplify right side
    7,648x = 311,099,044
  5. Step 5: Solve for x
    x = 311,099,044/7,648
  6. Step 6: Final answer
    x = 40,677.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.